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Finding the Fourth Proportional to 405.20, 607.71 and 185.76

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Solution

The fourth proportional to 405.20, 607.71 and 185.76 is: 278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.20 : 607.71 = 185.76 : x
  2. Step 2: Convert to fraction form
    405.20/607.71 = 185.76/x
  3. Step 3: Cross multiply
    405.20x = 607.71 × 185.76
  4. Step 4: Simplify right side
    405.20x = 112,885.23
  5. Step 5: Solve for x
    x = 112,885.23/405.20
  6. Step 6: Final answer
    x = 278.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.